Answer:
D. The dimension of the given rectangle is 7 units by 6 units.
Step-by-step explanation:
Here, the given coordinates of the rectangle are as:
A(−2,3),B (4,3),C(4,−4) and D(−2,−4).
Now, as we know in a rectangle, OPPOSITES SIDES ARE EQUAL IN LENGTH
So, find the length of any two adjacent sides of the rectangle, which will give the dimensions of the rectangle.
Now, by DISTANCE FORMULA:
The distance between (a,b) and (c,d) is given as:
[tex]\sqrt{(c-a)^2+ (d-b)^2}[/tex]
So, here the distance AB with A(−2,3) ,B (4,3)
= [tex]\sqrt{(4-(-2))^2 + (3-3)^2} = \sqrt{(6)^2 +0} = 6[/tex]
or, AB = 6 units
Similarly the distance BC with B (4,3),C(4,−4)
BC = [tex]\sqrt{(4-4)^2+(-4-3)^2} = \sqrt{(-7)^2 +0} = 7[/tex]
or, BC = 7 units
Hence, the dimension of the given rectangle is 7 units by 6 units.
